Ratios, Rates, And Proportions Worksheet With Answers Page 11
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16Now let’s do some applications.
Example 12
A man 6 feet tall is standing near a street lamp that is 15 feet tall. If his shadow casted on
the ground is 10 feet long, how far away is this man standing from the lamp?
You can use similar figures to solve this problem. First, let’s draw a diagram.
In this diagram, the street lamp is being represented by the height of the larger triangle, the
height of the smaller triangle represents the 6-feet tall man.
represents the distance
between the man and the street lamp. Using this diagram, we can set up a proportion like
we did in Example 11 as follows.
By cross-multiplying, we get (
)
. By solving this equation, we see that
So the man is standing 15 feet from the street lamp.
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